Dynamical Lie algebra method for highly excited vibrational state of asymmetric linear tetratomic molecules

摘要

The highly excited vibrational states of asymmetric linear tetratomic molecules are studied in the framework of Lie algebra. By using symmetric group U_1(4) directX U_2(4) directX U_3(4), we construct the Hamiltonian that includes not only Casimir operators but also Majorana operators M_(12), M_(13) and M_(23), which are useful for getting potential energy surface and force constants in Lie algebra method. By Lie algebra treatment, we obtain the eigenvalues of the Hamiltonian, and make the concrete calculation for molecule C_2HF.